Limit Cycles Bifurcating from a Periodic Annulus in Discontinuous Planar Piecewise Linear Hamiltonian Differential System with Three Zones

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorPessoa, Claudio-
Autor(es): dc.creatorRibeiro, Ronisio-
Data de aceite: dc.date.accessioned2025-08-21T22:30:32Z-
Data de disponibilização: dc.date.available2025-08-21T22:30:32Z-
Data de envio: dc.date.issued2023-03-01-
Data de envio: dc.date.issued2023-03-01-
Data de envio: dc.date.issued2022-06-30-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1142/S0218127422501140-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/241272-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/241272-
Descrição: dc.descriptionIn this paper, we study the number of limit cycles that can bifurcate from a periodic annulus in a discontinuous planar piecewise linear Hamiltonian differential system with three zones separated by two parallel straight lines. We prove that if the central subsystem, i.e. the system defined between the two parallel lines, has a real center and the other subsystems have centers or saddles, then we have at least three limit cycles that appear after perturbations of the periodic annulus. For this, we study the number of zeros of a Melnikov function for piecewise Hamiltonian system and present a normal form for this system in order to simplify the computations.-
Descrição: dc.descriptionDepartamento de Matemática IBILCE-UNESP, R. Cristovão Colombo 2265, S. J. Rio Preto, SP-
Descrição: dc.descriptionDepartamento de Matemática IBILCE-UNESP, R. Cristovão Colombo 2265, S. J. Rio Preto, SP-
Idioma: dc.languageen-
Relação: dc.relationInternational Journal of Bifurcation and Chaos-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectLimit cycles-
Palavras-chave: dc.subjectMelnikov function-
Palavras-chave: dc.subjectPeriodic annulus-
Palavras-chave: dc.subjectPiecewise Hamiltonian differential system-
Título: dc.titleLimit Cycles Bifurcating from a Periodic Annulus in Discontinuous Planar Piecewise Linear Hamiltonian Differential System with Three Zones-
Tipo de arquivo: dc.typelivro digital-
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